What is the equation of the cubic parent function?

Cubic Functions and Their Properties

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = x^4
y = x^3
y = x^2
y = x^5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the point of inflection in a cubic function?
It is the highest point on the graph.
It is where the graph changes concavity.
It is where the graph changes direction.
It is the lowest point on the graph.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the cubic parent function?
Negative infinity to positive infinity
0 to positive infinity
Negative infinity to 0
0 to 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of symmetry does the cubic function exhibit?
Origin symmetry
Symmetry about the x-axis
Symmetry about the y-axis
No symmetry
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the cubic parent function not have any extrema?
Because it is always increasing or decreasing
Because it is a constant function
Because it is a linear function
Because it is a quadratic function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x approaches negative infinity, what happens to y in a cubic function?
y remains constant
y approaches negative infinity
y approaches positive infinity
y oscillates
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a horizontal stretch in a cubic function indicate?
The graph shifts down
The graph becomes narrower
The graph becomes wider
The graph shifts up
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the point of inflection in a transformed cubic function?
By finding the vertex
By identifying the vertical shift
By setting the equation to zero
By identifying the horizontal shift
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in writing the equation of a transformed cubic function?
Identify the point of inflection
Determine the vertical stretch
Find the horizontal compression
Calculate the slope
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